Explicit factorization of $$x^n-1\in \mathbb {F}_q[x]$$ x n - 1 ∈ F q [ x ]

Author:

Brochero Martínez Fabio Enrique,Giraldo Vergara Carmen Rosa,de Oliveira Lilian Batista

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Reference9 articles.

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2. Blake I.F., Gao S., Mullin R.C.: Explicit factorization of $$x^{2^k}+1$$ x 2 k + 1 over $$\mathbb{F}_p$$ F p with $$p\equiv 3~(mod \; 4)$$ p ≡ 3 ( m o d 4 ) . Appl. Algebra Eng. Commun. Comput. 4, 89–94 (1993).

3. Chen B., Li L., Tuerhong R.: Explicit factorization of $$x^{2^mp^n}-1 $$ x 2 m p n - 1 over a finite field. Finite Fields Appl. 24, 95–104 (2013).

4. Fitzgerald R.W., Yucas J.L.: Explicit Factorization of Cyclotomic and Dickson Polynomials Over Finite Fields. Arithmetic of Finite Fields. Lecture Notes in Computer Science, vol. 4547, pp. 1–10. Springer, Berlin (2007).

5. Golomb S.W.: Shift Register Sequences. Holden-Day, Inc., San Francisco (1967).

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